(x – 7 )(x + 2)
x² – 5x – 14
To multiply these two binomials, you can use the distributive property. First, we will use the first term in the first binomial, x, and distribute it to both terms in the second binomial:
x(x + 2)
= x*x + x*2 (using distributive property)
= x^2 + 2x
Next, we will use the second term in the first binomial, -7, and distribute it to both terms in the second binomial:
-7(x + 2)
= -7*x – 7*2 (using distributive property)
= -7x – 14
Finally, we can combine the two results by adding the two expressions we found:
(x – 7)(x + 2)
= x^2 + 2x – 7x – 14
= x^2 – 5x – 14
Therefore, the product of the two binomials is x^2 – 5x – 14.
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